Comparison of Post Hoc Tests for Unequal Variance

One way ANOVA is performed only when the assumption of homogeneity of variance hold. However, it is a robust statistic that can be used when there is a deviation from this assumption. The problem of test any differences in population means when both variances and sample sizes are unequal is called “The Behrens-Fisher problem”. In the literature associated with the problem of Behrens-Fisher, there have been some solutions proposed since the 1930’s. For example, Fisher (1935 and 1941), Welch (1947), Aspin (1948), Cochran and Cox (1950), Qin (1991) and Jing (1995) have proposed different solutions. In this paper we have compared post hoc tests for unequal population variances for easy application purpose.